Statement I: A truck and a car moving with same kinetic energy are brought to rest by applying brakes which provide equal retarding forces. Both come to rest in equal distance. [2023]

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Q.
Given below are two statements: [2023]

Statement I: A truck and a car moving with same kinetic energy are brought to rest by applying brakes which provide equal retarding forces. Both come to rest in equal distance.

Statement II: A car moving towards east takes a turn and moves towards north, the speed remains unchanged. The acceleration of the car is zero.

In the light of given statements, choose the most appropriate answer from the options given below.

1 Statement I is correct but Statement II is incorrect

2 Statement I is incorrect but Statement II is correct

3 Both Statement I is correct but Statement II are incorrect

4 Both Statement I is incorrect but Statement II are correct

Ans.
(1)

$Work done = Δ K E$

$Work done = - F S = 0 - K$

$S = \frac{K}{F}, Hence statement 1 is correct.$

$\vec{Δ V} = {\vec{V}}_{f} - {\vec{V}}_{i}$

$Velocity is changing \Rightarrow \vec{a} \neq 0$

Solution

1 Statement I is correct but Statement II is incorrect

2 Statement I is incorrect but Statement II is correct

3 Both Statement I is correct but Statement II are incorrect

4 Both Statement I is incorrect but Statement II are correct

Ans.
(1)

$Work done = Δ K E$

$Work done = - F S = 0 - K$

$S = \frac{K}{F}, Hence statement 1 is correct.$

$\vec{Δ V} = {\vec{V}}_{f} - {\vec{V}}_{i}$

$Velocity is changing \Rightarrow \vec{a} \neq 0$

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Solution

1 Statement I is correct but Statement II is incorrect

2 Statement I is incorrect but Statement II is correct

3 Both Statement I is correct but Statement II are incorrect

4 Both Statement I is incorrect but Statement II are correct

Ans. (1) Work done=ΔKE Work done=-FS=0-K S=KF, Hence statement 1 is correct. ΔV→=V→f-V→i Velocity is changing ⇒ a→≠0

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Ans.
(1)

$Work done = Δ K E$

$Work done = - F S = 0 - K$

$S = \frac{K}{F}, Hence statement 1 is correct.$

$\vec{Δ V} = {\vec{V}}_{f} - {\vec{V}}_{i}$

$Velocity is changing \Rightarrow \vec{a} \neq 0$